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Finite element analysis is used to investigate an elastic-plastic coated spherical contact in full stick contact condition under combined normal and tangential loading. Sliding inception is associated with a loss of tangential stiffness. The effect of coating thickness on the static friction coefficient is intensively investigated for the case of hard coatings. For this case, with the increase in coating thickness, the static friction coefficient first increases to its maximum value at a certain coating thickness, thereafter decreases, and eventually levels off. The effect of the normal load and material properties on this behavior is discussed. Finally, a model for the static friction coefficient as a function of the coating thickness is provided for a wide range of material properties and normal loading.


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Model for the static friction coefficient in a full stick elastic-plastic coated spherical contact

Show Author's information Zhou CHEN( )Izhak ETSION
Department of Mechanical Engineering, Technion, Haifa 32000, Israel

Abstract

Finite element analysis is used to investigate an elastic-plastic coated spherical contact in full stick contact condition under combined normal and tangential loading. Sliding inception is associated with a loss of tangential stiffness. The effect of coating thickness on the static friction coefficient is intensively investigated for the case of hard coatings. For this case, with the increase in coating thickness, the static friction coefficient first increases to its maximum value at a certain coating thickness, thereafter decreases, and eventually levels off. The effect of the normal load and material properties on this behavior is discussed. Finally, a model for the static friction coefficient as a function of the coating thickness is provided for a wide range of material properties and normal loading.

Keywords: contact mechanics, static friction, elastic-plastic contact, spherical contact, hard coatings

References(40)

[1]
Eriksson M, Bergman F, Jacobson S. On the nature of tribological contact in automotive brakes. Wear 252(1-2): 26-36 (2002)
[2]
Ost W, De Baets P, Degrieck J. The tribological behaviour of paper friction plates for wet clutch application investigated on SAE#II and pin-on-disk test rigs. Wear 249(5-6): 361-371 (2001)
[3]
Srivastava N, Haque I. Transient dynamics of metal V-belt CVT: Effects of band pack slip and friction characteristic. Mech Mach Theory 43(4): 459-479 (2008)
[4]
Salib J, Kligerman Y, Etsion I. A model for potential adhesive wear particle at sliding inception of a spherical contact. Tribol Lett 30(3): 225-233 (2008)
[5]
Holmberg K, Andersson P, Erdemir A. Global energy consumption due to friction in passenger cars. Tribol Int 47: 221-234 (2012)
[6]
Hintermann H E. Adhesion, friction and wear of thin hard coatings. Wear 100(1-3): 381-397 (1984)
[7]
Holmberg K, Ronkainen H, Matthews A. Tribology of thin coatings. Ceram Int 26(7): 787-795 (2000)
[8]
Hogmark S, Jacobson S, Larsson M. Design and evaluation of tribological coatings. Wear 246(1-2): 20-33 (2000)
[9]
Holmberg K, Ronkainen H, Laukkanen A, Wallin K. Friction and wear of coated surfaces - scales, modelling and simulation of tribomechanisms. Surf Coat Technol 202(4-7): 1034-1049 (2007)
[10]
Greenwood J, Williamson J B P. Contact of nominally flat surfaces. Proc Roy Soc A: Math, Phys Eng Sci 295(1442): 300-319 (1966)
[11]
Keer L M, Kim S H, Eberhardt A W, Vithoontien V. Compliance of coated elastic bodies in contact. Int J Solids Struct 27(6): 681-698 (1991)
[12]
Garjonis J, Kačianauskas R, Stupak E, Vadlūga V. Investigation of contact behaviour of elastic layered spheres by FEM. Mechanika 3(77): 5-12 (2009)
[13]
Goltsberg R, Etsion I. A universal model for the load- displacement relation in an elastic coated spherical contact. Wear 322-323: 126-132 (2015)
[14]
Goltsberg R, Etsion I. Contact area and maximum equivalent stress in elastic spherical contact with thin hard coating. Tribol Int 93: 289-296 (2016)
[15]
Goltsberg R, Etsion I, Davidi G. The onset of plastic yielding in a coated sphere compressed by a rigid flat. Wear 271(11-12): 2968-2977 (2011)
[16]
Chen Z, Goltsberg R, Etsion I. Yield modes in a coated spherical contact. Tribol Int 120: 309-316 (2018)
[17]
Goltsberg R, Etsion I. A model for the weakening effect of very thin hard coatings. Wear 308(1-2): 10-16 (2013)
[18]
Huang X, Kasem H, Shang H F, Shao T M, Etsion I. Experimental study of a potential weakening effect in spheres with thin hard coatings. Wear 296(1-2): 590-597 (2012)
[19]
Eid H, Joshi N, McGruer N E, Adams G G. A model of contact with adhesion of a layered elastic-plastic microsphere with a rigid flat surface. J Tribol 133(3): 031406 (2011)
[20]
Chen L, Guo Z J, Joshi N, Eid H, Adams G G, McGruer N E. An improved SPM-based contact tester for the study of microcontacts. J Micromech Microeng 22(4): 045017 (2012)
[21]
Nguyen H V, He J Y, Helland T, Kristiansen H, Aasmundtveit K E. Electrical characterization of individual metal-coated polymer spheres used in isotropic conductive adhesives. J Appl Polym Sci 133(31): 43764 (2016)
[22]
Bazilchuk M, Pettersen S R, Kristiansen H, Zhang Z L, He J Y. Electromechanical characterization of individual micron-sized metal coated polymer particles. J Appl Phys 119(24): 245102 (2016)
[23]
Chen Z, Goltsberg R, Etsion I. Plasticity evolution in a coated sphere compressed by a rigid flat. Tribol Int 98: 116-124 (2016)
[24]
Chen Z, Goltsberg R, Etsion I. A universal model for a frictionless elastic-plastic coated spherical normal contact with moderate to large coating thicknesses. Tribol Int 114: 485-493 (2017)
[25]
Ronen S, Goltsberg R, Etsion I. A comparison of stick and slip contact conditions for a coated sphere compressed by a rigid flat. Friction 5(3): 326-338 (2017)
[26]
Kogut L, Etsion I. A semi-analytical solution for the sliding inception of a spherical contact. J Tribol 125(3): 499-506 (2003)
[27]
Eriten M, Polycarpou A A, Bergman L A. Physics-based modeling for partial slip behavior of spherical contacts. Int J Solids Struct 47(18-19): 2554-2567 (2010)
[28]
García J M, Martini A. Measured and predicted static friction for real rough surfaces in point contact. J Tribol 134(3): 031501 (2012)
[29]
Wu A Z, Shi X, Polycarpou A A. An elastic-plastic spherical contact model under combined normal and tangential loading. J Appl Mech 79(5): 051001 (2012)
[30]
Wu A Z, Shi X. Numerical investigation of adhesive wear and static friction based on the ductile fracture of junction. J Appl Mech 80(4): 041032 (2013)
[31]
Shi X. On slip inception and static friction for smooth dry contact. J Appl Mech 81(12): 121005 (2014)
[32]
Brizmer V, Kligerman Y, Etsion I. Elastic-plastic spherical contact under combined normal and tangential loading in full stick. Tribol Lett 25(1): 61-70 (2007)
[33]
Zolotarevskiy V, Kligerman Y, Etsion I. The evolution of static friction for elastic-plastic spherical contact in pre-sliding. J Tribol 133(3): 034502 (2011)
[34]
Bhagwat P, Sista B, Vemaganti K. A computational study of the effects of strain hardening in micro-asperity friction models. Tribol Lett 65(4): 154 (2017)
[35]
Zhao B, Zhang S, Keer L M. Spherical elastic-plastic contact model for power-law hardening materials under combined normal and tangential loads. J Tribol 139(2): 021401 (2017)
[36]
Etsion I. Revisiting the Cattaneo-Mindlin Concept of interfacial slip in tangentially loaded compliant bodies. J Tribol 132(2): 020801 (2010)
[37]
Ovcharenko A, Halperin G, Etsion I. In situ and real-time optical investigation of junction growth in spherical elastic-plastic contact. Wear 264(11-12): 1043-1050 (2008)
[38]
ANSYS® Academic Teaching Mechanical and CFD, Release 18.1, Help System. ANSYS Documentation/Mechanical APDL/Command References/XXIII. V Commands/VROTAT. ANSYS, Inc.
[39]
ANSYS® Academic Teaching Mechanical and CFD, Release 18.1, Help System. ANSYS Documentation/Mechanical APDL/Contact Technology Guide/3. Surface-to-Surface Contact (Pair-Based)/3.6 Defining the Target Surface/3.6.1 Pilot nodes. ANSYS, Inc.
[40]
Goltsberg R, Levy S, Kligerman Y, Etsion I. Strengthening Effect of soft thin coatings. J Tribol 140(6): 064501 (2018)
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Publication history

Received: 15 July 2018
Revised: 26 August 2018
Accepted: 15 October 2018
Published: 22 November 2018
Issue date: December 2019

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© The author(s) 2018

Acknowledgements

This paper is part of IEA AMT IA technical activities.

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This article is published with open access at Springerlink.com

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